Multiple Choice Questions

During a journey a person travels half of the distance at a speed of 18 km h and the remaining half ...........

Quantitative Aptitude (MTS) Time & distance

During a journey a person travels half of the distance at a speed of 18 km/h and the remaining half of the journey at a speed of

22 km/h. What is his average speed for the entire journey?

This questions was previously asked in

SSC MTS 13th July 2022 Shift-1

21.4 km/h

20.2 km/h

19.2 km/h

19.8 km/h

To find the average speed, follow these steps:

- The journey's total distance (let's say D) is divided into two equal parts, each being D/2.

- The first half is traveled at 18 km/h.

- The second half is traveled at 22 km/h.

- Time for first half, T1 = (D/2) / 18

- Time for second half, T2 = (D/2) / 22

- Total time, T = T1 + T2 = (D/36) + (D/44)

- Simplify to get: T = 11D/198

- Average speed = Total distance / Total time = D / (11D/198) = 19.8 km/h

Correct Answer: Option 4 - 19.8 km/h

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